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Finding the Fourth Proportional to 310,801.64, 428,974.18 and 197,602.28

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Solution

The fourth proportional to 310,801.64, 428,974.18 and 197,602.28 is: 272,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,801.64 : 428,974.18 = 197,602.28 : x
  2. Step 2: Convert to fraction form
    310,801.64/428,974.18 = 197,602.28/x
  3. Step 3: Cross multiply
    310,801.64x = 428,974.18 × 197,602.28
  4. Step 4: Simplify right side
    310,801.64x = 84,766,276,029.13
  5. Step 5: Solve for x
    x = 84,766,276,029.13/310,801.64
  6. Step 6: Final answer
    x = 272,734.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.